Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210n |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
19789657256250000 = 24 · 39 · 58 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67988,881767] |
[a1,a2,a3,a4,a6] |
j |
1765725659754363/1005418750000 |
j-invariant |
L |
5.2894012707367 |
L(r)(E,1)/r! |
Ω |
0.33058757942455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42210c1 |
Quadratic twists by: -3 |